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Simplifying -8 + -2(-7z + -7) = -2(7z + -3) + -6 Reorder the terms: -8 + -2(-7 + -7z) = -2(7z + -3) + -6 -8 + (-7 * -2 + -7z * -2) = -2(7z + -3) + -6 -8 + (14 + 14z) = -2(7z + -3) + -6 Combine like terms: -8 + 14 = 6 6 + 14z = -2(7z + -3) + -6 Reorder the terms: 6 + 14z = -2(-3 + 7z) + -6 6 + 14z = (-3 * -2 + 7z * -2) + -6 6 + 14z = (6 + -14z) + -6 Reorder the terms: 6 + 14z = 6 + -6 + -14z Combine like terms: 6 + -6 = 0 6 + 14z = 0 + -14z 6 + 14z = -14z Solving 6 + 14z = -14z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '14z' to each side of the equation. 6 + 14z + 14z = -14z + 14z Combine like terms: 14z + 14z = 28z 6 + 28z = -14z + 14z Combine like terms: -14z + 14z = 0 6 + 28z = 0 Add '-6' to each side of the equation. 6 + -6 + 28z = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 28z = 0 + -6 28z = 0 + -6 Combine like terms: 0 + -6 = -6 28z = -6 Divide each side by '28'. z = -0.2142857143 Simplifying z = -0.2142857143
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